To clarify some details here further
A red pressure vessel would be non-potable, so would relate to the primary heating circuit. The pressure gauge on that would have absolutely nothing to do with the flow rate of hot or cold water within the property. The nominal pressure for a sealed HEATING ( primary ) system would be 1-1.5 bar. That pressure would be almost identical to the gauge on the system boiler as they'd be the same body of water.
Not sure what you mean here tbh. The dhw system is cold mains fed when you've got an unvented system. If you had a leak, it would hardly affect the terminal flow rate unless it was a torrent. A torrent is quite easy to find, so assume this can be ruled out.
The pressure drop in a sealed heating system would only cause the boiler to switch off, and again, would leave the hot and cold flow rates completely unaffected.
You need to survey the mains before recommending an accumulator. If there is insufficient static pressure, the acc would never fill, at which point ( like my current job ) you'd have to fit a break tank, a cold mains booster pump, and then the acc.
Any unvented install should have a 22mm cold mains 'backbone' running throughout the house. This job has a TS, so is in essence an instant water heater. This should also have a 22mm cold mains backbone ( all cold pipework done in 22mm bar the last outlet which can be in 15mm off the 22mm ), but should also either have the majority of the hot done in 22mm, or have radial plumbing ( individual runs of small bore to each outlet from a centralised manifold ) in order to alleviate resistance from the pipework and deliver maximum flow rates. From the pics, it's clear that the plumbing may well be mostly done in 15mm.
@Shell820810, do you have pics of the hot and cold connections at the TS? Also, can your hubby conform how much 22mm hot / cold pipework, if any, has been installed, and to / from where ? Ta.